53035362400 has 144 divisors (see below), whose sum is σ = 141816860640. Its totient is φ = 19277619200.

The previous prime is 53035362377. The next prime is 53035362409. The reversal of 53035362400 is 426353035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53035362409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327165 + ... + 461635.

It is an arithmetic number, because the mean of its divisors is an integer number (984839310).

Almost surely, 2^53035362400 is an apocalyptic number.

53035362400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53035362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70908430320).

53035362400 is an abundant number, since it is smaller than the sum of its proper divisors (88781498240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53035362400 is a wasteful number, since it uses less digits than its factorization.

53035362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134537 (or 134524 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

The spelling of 53035362400 in words is "fifty-three billion, thirty-five million, three hundred sixty-two thousand, four hundred".